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Finding the Fourth Proportional to 515,994.88, 712,018.24 and 289,665.28

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Solution

The fourth proportional to 515,994.88, 712,018.24 and 289,665.28 is: 399,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,994.88 : 712,018.24 = 289,665.28 : x
  2. Step 2: Convert to fraction form
    515,994.88/712,018.24 = 289,665.28/x
  3. Step 3: Cross multiply
    515,994.88x = 712,018.24 × 289,665.28
  4. Step 4: Simplify right side
    515,994.88x = 206,246,962,854.71
  5. Step 5: Solve for x
    x = 206,246,962,854.71/515,994.88
  6. Step 6: Final answer
    x = 399,707.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.